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Bayesian censored data viewpoint in Weibull distribution
Faculty
Science
Year:
2011
Type of Publication:
Article
Pages:
828-837
Authors:
Abd-Elfattah, A. M, Mohamed, Marwa O
Journal:
LIFE SCIENCE JOURNAL-ACTA ZHENGZHOU UNIVERSITY OVERSEAS EDITION MARSLAND PRESS
Volume:
8
Research Area:
Life Sciences \& Biomedicine - Other Topics
ISSN
ISI:000303526000108
Keywords :
Weibull distribution, Bayesian estimator, LINEX loss function, Reliability function, stress-strength model, Risk function and squared error loss function, Type-I censored data
Abstract:
The time of failure and average life of a component, measured from some specified time until it fails, is represented by a continuous random variable. Extensively in recent years, one distribution that has been used as a model to deal with such problems for product life is the Weibull distribution. The objective of this paper is to consider the estimation problem of the probability P(Y < X) for Weibull distribution. Based on Classical Type I censored samples. The maximum-likelihood estimators (MLE) are obtained for stress-strength reliability. Bayes estimates under various loss functions are researched. Some computational results from intensive simulations are presented. In the end, in order to investigate the accuracy of estimations, an illustrative example is examined numerically by means of Monte Carlo simulation. {[}Abd-Elfattah A. M. and Marwa O. Mohamed. Bayesian censored data viewpoint in Weibull distribution]. Life Science Journal, 2011; 8(4):828-837] (ISSN: 1097-8135). http://www.lifesciencesite.com.
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